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Finding the Fourth Proportional to 144,893.69, 199,953.16 and 81,231.50

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Solution

The fourth proportional to 144,893.69, 199,953.16 and 81,231.50 is: 112,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,893.69 : 199,953.16 = 81,231.50 : x
  2. Step 2: Convert to fraction form
    144,893.69/199,953.16 = 81,231.50/x
  3. Step 3: Cross multiply
    144,893.69x = 199,953.16 × 81,231.50
  4. Step 4: Simplify right side
    144,893.69x = 16,242,495,116.54
  5. Step 5: Solve for x
    x = 16,242,495,116.54/144,893.69
  6. Step 6: Final answer
    x = 112,099.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.